Answer:
You can use the definite integral to find the volume of a solid with specific cross sections on an interval, provided you know a formula for the region determined by each cross section. If the cross sections generated are perpendicular to the x‐axis, then their areas will be functions of x, denoted by A(x). The volume ( V) of the solid on the interval [ a, b] is
When solving a system of inequalities or just an inequality (like 2-4y > 14), in what condition the sign flip to the other way?
Answer:
When the coefficient of the variable is negative, as shown below,
Step-by-step explanation:
2-4y>14
-4y>14-2
-4y>12, divde through by - 4
y>-3
Milk A small dairy sells milk to local grocery stores. 1.a gallon of milk weighs between 8 and 9 pounds Part A about how much ounces does a gallon of milk way? Explain your answer
Answer:
between 128 and 144 ounces
Step-by-step explanation:
Recall that 1 pound equals 16 ounces.
8 pounds is 128 oz; 9 pounds is `144 oz.
Therefore, a gallon of milk weighs between 128 and 144 ounces.
I don’t understand how to do this . Any help would be appreciated thank you .
(B)
Step-by-step explanation:
Look at the triangle with the 65° angle. Note that the 65° angle is opposite the 24-ft side and p is the length of the triangle's hypotenuse so let's use the definition of sine 65°:
sin 65 = opposite/hypotenuse
= (24 ft)/p
Solving for p,
p = (24 ft)/(sin 65°)
= 26.48 ft
Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Work out the value of x
Given:
The given sets are:
Set a : 200, 104, 100, 160.
Set b: 270, 400, 483, 300, x.
Mean of set a: mean of set b= 3:8
To find:
The value of x.
Solution:
Formula for mean:
[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}[/tex]
The mean of set of a is:
[tex]Mean=\dfrac{200+104+100+160}{4}[/tex]
[tex]Mean=\dfrac{564}{4}[/tex]
[tex]Mean=141[/tex]
The mean of set of b is:
[tex]Mean=\dfrac{270+400+483+300+x}{5}[/tex]
[tex]Mean=\dfrac{1453+x}{5}[/tex]
[tex]Mean=\dfrac{1453+x}{5}[/tex]
It is given that,
Mean of set a: mean of set b= 3:8
[tex]\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}[/tex]
[tex]\dfrac{705}{1453+x}=\dfrac{3}{8}[/tex]
[tex]8\times 705=3\times (1453+x)[/tex]
[tex]5640=4359 +3x[/tex]
Isolate the variable x.
[tex]5640-4359 =3x[/tex]
[tex]1281 =3x[/tex]
Divide both sides by 3.
[tex]\dfrac{1281}{3} =x[/tex]
[tex]427 =x[/tex]
Therefore, the value of x is 427.
HELP WILL GIVE BRAINLY PLZ DONT SKIP
Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probability that a randomly
chosen student took Form B and did not pass? Show ur work/explain in words what you did
A. 0.055
B 0.195
C. 0.305
D. 0.390
Answer:
C. 0.305
Step-by-step explanation:
100 - 39 = 61
.5 x .61 = .305
30.5%
On a test that has a normal distribution, a score of 49 falls three standard deviations below the mean, and a score of 59 falls two standard deviations above the mean. Determine the mean of this test.
The mean of the test that has a normal distribution is 55.
What is the mean of the test?Let's denote the mean of the test by μ, and the standard deviation by σ. We can use the information given to set up a system of two equations:
49 = μ - 3σ equation (1)
59 = μ + 2σ equation (2)
To solve for μ, we can eliminate σ by adding equations (1) and equation (2) to get:
49 + 59 = μ - 3σ + μ + 2σ
Simplifying, we get:
108 = 2μ - σ
We can also solve for σ by subtracting equation (1) from equation (2) to get:
59 - 49 = μ + 2σ - (μ - 3σ)
Simplifying, we get:
10 = 5σ
Therefore, σ = 2.
Substituting this value of σ into the equation we found earlier, we get:
108 = 2μ - σ
108 = 2μ - 2
Solving for μ, we get:
2μ = 108 + 2
2μ = 110
μ = 110/2
μ = 55
Therefore, the mean of the test is 55.
Learn more about normal distribution here: https://brainly.com/question/29509087
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Simplify each expression
Answer:
a) 2x + 6y + 7x
9x + 6y
b) 3a + 8b + 5a
8a + 8b
c) 6u + 3v - 2u
4u + 3v
d) 9p + 8q - p
8p + 8q
e) 2m + 5n + 4m + 3n
6m + 5n + 3n
6m + 8n
f) 6u + 9v + u + 3v
12v + 6u + u
12v + 7u
g) 8b + 7c + 3b - 2c
8b + 3b + 5c
11b + 5c
h) a + 2b + a - b
2a + 2b - b
2a + b
i) 5a + 2b - 5a + 6b
8b + 5a - 5a
8a
h) 9p + 3q - 2p - 3q
7p + 3q - 3q
7p
A process engineer is implementing a quality assurance system on a breakfast cereal production line. A new sensor is installed on the line that tests the weight of the filled boxes and rejects any product outside the correct package weight. Historically, 90% of the product manufactured on this line is within the correct weight range. The sensor rejects boxes of incorrect weight 98% of the time. The sensor rejects boxes of correct weight 1% of the time. What is the probability that a correct weight box of cereal will get rejected by the sensor
Answer:
0.2%
Step-by-step explanation:
The given parameters are;
The percentage of product within the correct range = 95%
The percentage of the times the sensor reject boxes of incorrect weight = 98%
The percentage of the times the company reject boxes with correct weight = 1%
[tex]\begin{array}{cccc}&P&N&T\\P&TP&0.9&90\\N&FP&9.8&10\end{array}[/tex]
We have, FN = 0.9, TN = 9.8, TP = 90 - 0.9 = 89.1, FP = 10 - 9.8 = 0.2
FNR = FN/(FN + TP) = 0.9/(0.9 + 89.1) = 0.01
FPR = 0.2/(0.2 + 9.8) = 0.02
TPR = 89.1/(89.1 + 0.9) = 0.99
TNR = 9.8/(9.8 + 0.2) = 0.98
P(C/A) = TPR × P(C)/((TPR × P(C) + FPR×(1 - P(C)))
Where;
P(C/A) = The probability that a correct weight package is accepted
∴ P(C/A) = 0.99*0.9/(0.99*0.9 + 0.02*0.1) ≈ 0.99776
The probability that a correctly weighed package is rejected, P(C/R), is given as follows;
P(C/R) = 1 - P(C/A)
∴ P(C/R) ≈ 1 - 0.99776 = 0.00224 ≈ 0.2%
The probability that a correctly weighed package is rejected, P(C/R) ≈ 0.2%
Answer:0.9%
Step-by-step explanation:
good luck!!!
The mean of three numbers is 10. The mode is 8. What are the three numbers?
Answer:
8, 8, 14
Step-by-step explanation:
Since 8 is the mode, it will appear the most. As there are 3 numbers, 8 will be two of them, so there are 2 8s.
To find the total of the numbers, do the mean multiplied by the amount of numbers, which is 10 times 3, which equals 30.
To find the last number, minus the two numbers you already have from the total, so 30-8-8=14
So the three numbers are 8,8,14.
Hope this helps! :)
what is the speed of the person from point c to point d?
Answer:
A
Step-by-step explanation:
The cost to rent an instrument is $65 for the first month. It costs $30 for each additional month, x, that the instrument is rented. Witch expression represents the total cost of renting the instrument?
Answer:
y=65+ 30x
Step-by-step explanation:
Given data
Cost of rental= $65
Additional month= $30
The expression for the total cost for x months is
y=65+ 30x
we gots more babeyyy
I just need assistance, or put me in the right direction, something-
I've got till the end of the day, and this will determine my final grade
please help if you can
5x + 16 = ( 2x + 14 ) + 32
...............................................
This the clue and the right direction
You got this
Thank for doing l love u
good job guys ik math is hard sometimes
Find mMLK. 272 °. please and thank you!!
Answer:acute angle less than ninety so around fourth five
Step-by-step explanation:
I NEED HELP PLEASE PLEASE IN ALGEBRA!
Answer:
what is question?
Step-by-step explanation:
can someone help me with this thank you
Answer:
324?
Step-by-step explanation:
PLEASE HELP ME ACE THIS
angle a = ___ degrees
Angle B = ADC arc / 2
32 = ADC arc / 2
ADC arc = 2 × 32
ADC arc = 64
_________________________________
ADC arc + ABC arc = 360
64 + ABC arc = 360
ABC arc = 360 - 60 - 4
ABC arc = 300 - 4
ABC arc = 296
_________________________________
Angle D = ABC arc / 2
x = 296 / 2
x = 148
_________________________________
Angle A = x - 40
Angle A = 148 - 40
Angle A = 108 degrees
pleaseeeee help meeeee i will mark you brainlesttttttttttttttttttttttt
Answer:
First you would see the picture and you would count how many people had less than 20 which is 18
brainliest
Step-by-step explanation:
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answer:
Its D because the x axis can repeat itself
Step-by-step explanation:
A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated.
Answer:
D, the last one
Step-by-step explanation:
A function, f(x), cannot have repeating x-values. Option D has the number 5 repeated twice, {1, 5, 5, 7}, in the x-column, therefore it cannot be a function of x.
A fraction Equivalent 4/6 and has the denominator 3
Answer:
7
Step-by-step explanation:
Answer:
the answer is 2/3
hope this helps
have a good day :)
Step-by-step explanation:
If ABC and EDC are similar, what is the value
of x?
A
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
BC/DC = EC/AC , substitute values
3x×5/32 - 5x-5/56 ( cross- multiply )
56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides
168x - 280 = 160x - 160 ( subtract 160x from both sides )
8x - 280 = - 160 ( add 280 to both sides )
8x = 120 ( divide both sides by 8 )
x = 15
Complete the table so there is a proportional relationship between cups of blue paint and cups of red paint.
Answer:
Blue paint: 1, 2, 2.8, 10
Red paint: 2.5, 5, 7, 25
Step-by-step explanation:
constant of proportionality: 2.5
2.5x = y
the system of equations kx-5y = 2, 6x+2y = 7 has no solution, then k =
(a) -10 (b) -5 (c) -6 (d) -15
Answer:
(d) -15
Step-by-step explanation:
Given system of equations are:
[tex] \begin{cases}kx-5y=2\\\\6x+2y=7\end{cases}[/tex]
Since, given system of equations have no solution.
[tex] \therefore \frac{k}{6}=\frac{-5}{2} \neq\frac{2}{7}[/tex]
[tex] \implies \frac{k}{6}=\frac{-5}{2} [/tex]
[tex] \implies k=\frac{6(-5)}{2} [/tex]
[tex] \implies k=\frac{-30}{2} [/tex]
[tex] \implies k=-15[/tex]
Paisley is going to invest in an account paying an interest rate of 3.4% compounded
daily. How much would Paisley need to invest, to the nearest dollar, for the value of
the account to reach $400 in 16 years?
Answer:
232
Step-by-step explanation:
It snowed 7.29 inches on Monday and 0.78 inches on Tuesday. How much did it snow on
Monday and Tuesday combined?
Answer:
8.07 inches
Step-by-step explanation:
7.29+0.78=8.07
What is the measure of angle R?
110°
140°
125°
70°
Solve for x helpppp pleaseee
Answer:
10
Step-by-step explanation:
360=95+95+15+7x+15+7x
360-95-95-15-15=7x+7x
140=14x
140/14=x
10=x
PLS HELP ASAP DUE TMR TY
Answer:
a=8/2
a=4
Step-by-step explanation:
Answer:
[tex]a = 4[/tex]
Step-by-step explanation:
[tex](2a) = 8[/tex]
[tex]a = \frac{8}{2} [/tex]
[tex]a = 4[/tex]
Hope it is helpful.....Answer this and I will brainliest
the coefficient in the term 7xy is
Answer:
The coefficient is 7
Step-by-step explanation:
The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.